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Finding the Fourth Proportional to 13,916.68, 20,883.39 and 7,680.76

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Solution

The fourth proportional to 13,916.68, 20,883.39 and 7,680.76 is: 11,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.68 : 20,883.39 = 7,680.76 : x
  2. Step 2: Convert to fraction form
    13,916.68/20,883.39 = 7,680.76/x
  3. Step 3: Cross multiply
    13,916.68x = 20,883.39 × 7,680.76
  4. Step 4: Simplify right side
    13,916.68x = 160,400,306.58
  5. Step 5: Solve for x
    x = 160,400,306.58/13,916.68
  6. Step 6: Final answer
    x = 11,525.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.